Department of

Mathematics


Seminar Calendar
for events the day of Thursday, August 30, 2018.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, August 30, 2018

11:00 am in 241 Altgeld Hall,Thursday, August 30, 2018

Equal sums of two cubes

Bruce Reznick (Illinois Math)

Abstract: Ramanujan was fascinated by equal sums of two cubes, as shown in the legendary anecdote about $1729 = 10^3 + 9^3 = 12^3 + 1^3$. He was also interested in the equation $f_1^3 + f_2^3 = f_3^3 + f_4^3$ for polynomials $f_j$ and gave several examples in which the $f_j$'s were quadratic polynomials. We will discuss the complete solution for quadratic complex polynomials, with side trips into elliptic curves and computational algebraic geometry. The simplest such identity is $(x^2 + x y - y^2)^3 + (x^2 - x y - y^2)^3 = 2x^6 -2y^6$. This talk is meant to be accessible to first-year graduate students.

2:00 pm in 241 Altgeld Hall,Thursday, August 30, 2018

Organizational Meeting

Kyle Pratt (UIUC)

Abstract: We will have a short meeting to draw up a schedule of speakers for the semester. Please sign up if you have a topic in mind! All are welcome, and cookies will be provided.

3:00 pm in 345 Altgeld Hall,Thursday, August 30, 2018

Organizational Meeting IRT/AGC

Di Francesco, Kedem, Yong

Abstract: Everyone who is interested in the IRT and AGC seminars are invited to attend: Do you want to volunteer to give a talk? Do you have a potential visitor in mind? Do you have topics you would like to see discussed this year? Please come and help shape the schedule for these two seminars for the coming semester.